Stochastic Programming for Dynamic Temperature Control of Refrigerated Road Transport

References

• Aiello G, La Scalia G, Micale R (2012) Simulation analysis of cold chain performance based on time–temperature data. Production Planning Control 23(6):468–476.Crossref, Google Scholar
• Akkaş A, Gaur V (2022) OM forum—Reducing food waste: An operations management research agenda. Manufacturing Service Oper. Management 24(3):1261–1275.Link, Google Scholar
• Alvarez A, Miranda P, Rohmer S (2022) Production routing for perishable products. Omega 111:102667.Crossref, Google Scholar
• Alvarez A, Cordeau J-F, Jans R, Munari P, Morabito R (2020) Formulations, branch-and-cut and a hybrid heuristic algorithm for an inventory routing problem with perishable products. Eur. J. Oper. Res. 283(2):511–529.Crossref, Google Scholar
• Aung MM, Chang YS (2014) Temperature management for the quality assurance of a perishable food supply chain. Food Control 40:198–207.Crossref, Google Scholar
• Avishan F, Yanıkoğlu İ, Soysal M (2026) Adaptive optimization approach for production and distribution planning of perishable food products under demand uncertainty. Ann. Oper. Res. 364(2):1613–1660.Crossref, Google Scholar
• Bai Q, Yuan Y, Fu X, Zhou Z (2024) Vehicle routing problem for cold chain logistics based on data fusion technology to predict travel time. Oper. Res. 24(4):55.Google Scholar
• Birge JR, Louveaux F (2011) Introduction to Stochastic Programming (Springer, New York).Crossref, Google Scholar
• Cavagnini R, Bertazzi L, Maggioni F (2022) A rolling horizon approach for a multi-stage stochastic fixed-charge transportation problem with transshipment. Eur. J. Oper. Res. 301(3):912–922.Crossref, Google Scholar
• Chand S, Hsu VN, Sethi S (2002) Forecast, solution, and rolling horizons in operations management problems: A classified bibliography. Manufacturing Service Oper. Management 4(1):25–43.Link, Google Scholar
• Chen T, Guestrin C (2016) XGBoost: A scalable tree boosting system. Krishnapuram B, Shah M, Smola AJ, Aggarwal C, Shen D, Rastogi R, eds. Proc. 22nd ACM SIGKDD Internat. Conf. Knowledge Discovery Data Mining (ACM, New York), 785–794.Google Scholar
• Chen H-K, Hsueh C-F, Chang M-S (2009) Production scheduling and vehicle routing with time windows for perishable food products. Comput. Oper. Res. 36(7):2311–2319.Crossref, Google Scholar
• Chen L, Liu Y, Langevin A (2019) A multi-compartment vehicle routing problem in cold-chain distribution. Comput. Oper. Res. 111:58–66.Crossref, Google Scholar
• Crama Y, Rezaei M, Savelsbergh M, Woensel TV (2018) Stochastic inventory routing for perishable products. Transportation Sci. 52(3):526–546.Link, Google Scholar
• de Keizer M, Akkerman R, Grunow M, Bloemhof JM, Haijema R, van der Vorst JG (2017) Logistics network design for perishable products with heterogeneous quality decay. Eur. J. Oper. Res. 262(2):535–549.Crossref, Google Scholar
• De Micheaux TL, Ducoulombier M, Moureh J, Sartre V, Bonjour J (2015) Experimental and numerical investigation of the infiltration heat load during the opening of a refrigerated truck body. Internat. J. Refrigeration 54:170–189.Crossref, Google Scholar
• Deng F, Qin H, Li J, Cheng C (2023) The pickup and delivery problem with time windows and incompatibility constraints in cold chain transportation. Transportation Sci. 57(2):444–462.Link, Google Scholar
• Devapriya P, Ferrell W, Geismar N (2017) Integrated production and distribution scheduling with a perishable product. Eur. J. Oper. Res. 259(3):906–916.Crossref, Google Scholar
• Ding Y, Zhang L, Kuo Y-H, Zhang L (2025) Cold chain routing for product freshness and low carbon emissions: A target-oriented robust optimization approach. Transportation Res. Part E Logist. Transportation Rev. 199:104138.Crossref, Google Scholar
• Downward A, Dowson O, Baucke R (2020) Stochastic dual dynamic programming with stagewise-dependent objective uncertainty. Oper. Res. Lett. 48(1):33–39.Crossref, Google Scholar
• Gioia DG, Fadda E, Brandimarte P (2023) Rolling horizon policies for multi-stage stochastic assemble-to-order problems. Internat. J. Production Res. 62(14):5108–5126.Crossref, Google Scholar
• Göransson M, Jevinger Å, Nilsson J (2018) Shelf-life variations in pallet unit loads during perishable food supply chain distribution. Food Control 84:552–560.Crossref, Google Scholar
• Hillier FS, Lieberman GJ (2015) Introduction to Operations Research (McGraw-Hill, Columbus, OH).Google Scholar
• Hovgaard TG, Larsen LF, Skovrup MJ, Jørgensen JB (2011) Power consumption in refrigeration systems—Modeling for optimization. Proc. 2011 Internat. Sympos. Adv. Control Indust. Processes (ADCONIP) (IEEE, Piscataway, NJ), 234–239.Google Scholar
• Hsu C-I, Hung S-F, Li H-C (2007) Vehicle routing problem with time-windows for perishable food delivery. J. Food Engrg. 80(2):465–475.Crossref, Google Scholar
• Huang Y, Khajepour A, Ding H, Bagheri F, Bahrami M (2017) An energy-saving set-point optimizer with a sliding mode controller for automotive air-conditioning/refrigeration systems. Appl. Energy 188:576–585.Crossref, Google Scholar
• Iyer P, Robb D (2025) Cold chain optimisation models: A systematic literature review. Comput. Indust. Engrg. 204:110972.Crossref, Google Scholar
• King AJ, Wallace SW (2024) Modeling with Stochastic Programming, Springer Series in Operations Research and Financial Engineering (Springer International Publishing, Cham, Switzerland).Crossref, Google Scholar
• Kondjoyan A (2006) A review on surface heat and mass transfer coefficients during air chilling and storage of food products. Internat. J. Refrigeration 29(6):863–875.Crossref, Google Scholar
• Konovalenko I, Ludwig A, Leopold H (2021) Real-time temperature prediction in a cold supply chain based on Newton’s law of cooling. Decision Support Systems 141:113451.Crossref, Google Scholar
• Lan G (2022) Complexity of stochastic dual dynamic programming. Math. Programming 191(2):717–754.Crossref, Google Scholar
• Larsen LF, Thybo C, Rasmussen H (2007) Potential energy savings optimizing the daily operation of refrigeration systems. Proc. 2007 Eur. Control Conf. (ECC) (IEEE, Piscataway, NJ), 4759–4764.Google Scholar
• Li B, Otten R, Chandan V, Mohs WF, Berge J, Alleyne AG (2010) Optimal on–off control of refrigerated transport systems. Control Engrg. Practice 18(12):1406–1417.Crossref, Google Scholar
• Li B, Jain N, Mohs WF, Munns S, Patnaik V, Berge J, Alleyne AG (2012) Dynamic modeling of refrigerated transport systems with cooling-mode/heating-mode switch operations. HVAC&R Res. 18(5):974–996.Crossref, Google Scholar
• Lienhard JH V, Lienhard JH IV (2024) A Heat Transfer Textbook, 6th ed. (Phlogiston Press, Cambridge, MA).Google Scholar
• Lin N, Kanellopoulos A, Akkerman R, Zhang J, Ruan J (2025) Vehicle routing in precooling logistics with dynamic temperature-dependent product quality decay. Eur. J. Oper. Res. 321(2):407–427.Crossref, Google Scholar
• Lin N, Akkerman R, Kanellopoulos A, Hu X, Wang X, Ruan J (2023) Vehicle routing with heterogeneous service types: Optimizing post-harvest preprocessing operations for fruits and vegetables in short food supply chains. Transportation Res. Part E Logist. Transportation Rev. 172:103084.Crossref, Google Scholar
• Löhndorf N, Wozabal D (2021) Gas storage valuation in incomplete markets. Eur. J. Oper. Res. 280(1):318–330.Crossref, Google Scholar
• Löhndorf N, Wozabal D, Minner S (2013) Optimizing trading decisions for hydro storage systems using approximate dual dynamic programming. Oper. Res. 61(4):810–823.Link, Google Scholar
• Luo H, Ma T, Li Z (2025) An exact branch-price-and-cut algorithm for the time-dependent cold chain pickup and delivery problem with incompatibility constraints. Comput. Oper. Res. 178:107007.Crossref, Google Scholar
• Magnani A, Boyd SP (2009) Convex piecewise-linear fitting. Optim. Engrg. 10(1):1–17.Crossref, Google Scholar
• Ostermeier M, Henke T, Hübner A, Wäscher G (2021) Multi-compartment vehicle routing problems: State-of-the-art, modeling framework and future directions. Eur. J. Oper. Res. 292(3):799–817.Crossref, Google Scholar
• Pei R, Xie J, Zhang H, Sun K, Wu Z, Zhou S (2021) Robust multi-layer energy management and control methodologies for reefer container park in port terminal. Energies 14(15):4456.Crossref, Google Scholar
• Pereira MVF, Pinto LMVG (1991) Multi-stage stochastic optimization applied to energy planning. Math. Programming 52(1–3):359–375.Crossref, Google Scholar
• Philpott A, de Matos V (2012) Dynamic sampling algorithms for multi-stage stochastic programs with risk aversion. Eur. J. Oper. Res. 218(2):470–483.Crossref, Google Scholar
• Placek M (2024) Estimated size of the cold chain logistics market worldwide in 2024, with a forecast through 2033 (in billion U.S. dollars). Accessed August 3, 2025, https://www.statista.com/statistics/1107947/cold-chain-logistics-market-size-worldwide/.Google Scholar
• Powell W (2011) Approximate Dynamic Programming. Solving the Curses of Dimensionality (Wiley, Hoboken, NJ).Crossref, Google Scholar
• Rebennack S (2016) Combining sampling-based and scenario-based nested Benders decomposition methods: Application to stochastic dual dynamic programming. Math. Programming 156(1–2):343–389.Crossref, Google Scholar
• Rong A, Akkerman R, Grunow M (2011) An optimization approach for managing fresh food quality throughout the supply chain. Internat. J. Production Econom. 131(1):421–429.Crossref, Google Scholar
• Shapiro A (2011) Analysis of stochastic dual dynamic programming method. Eur. J. Oper. Res. 209(1):63–72.Crossref, Google Scholar
• Shapiro A, Dentcheva D, Ruszczynski A (2021) Lectures on Stochastic Programming: Modeling and Theory, 3rd ed. (Society for Industrial and Applied Mathematics, Philadelphia).Crossref, Google Scholar
• Song H, Cai M, Cen J, Xu C, Zeng Q (2022) Research on energy saving optimization method of electric refrigerated truck based on genetic algorithm. Internat. J. Refrigeration 137:62–69.Crossref, Google Scholar
• Spinelli A, Maggioni F, Ramos TRP, Barbosa-Póvoa AP, Vigo D (2025) A rolling horizon heuristic approach for a multi-stage stochastic waste collection problem. Eur. J. Oper. Res. 323(1):276–296.Crossref, Google Scholar
• Stellingwerf HM, Kanellopoulos A, van der Vorst JG, Bloemhof JM (2018) Reducing CO2 emissions in temperature-controlled road transportation using the LDVRP model. Transportation Res. Part D Transport Environ. 58:80–93.Crossref, Google Scholar
• Stellingwerf HM, Groeneveld LH, Laporte G, Kanellopoulos A, Bloemhof JM, Behdani B (2021) The quality-driven vehicle routing problem: Model and application to a case of cooperative logistics. Internat. J. Production Econom. 231:107849.Crossref, Google Scholar
• Taher MB, Kousksou T, Zeraouli Y, Ahachad M, Mahdaoui M (2021) Thermal performance investigation of door opening and closing processes in a refrigerated truck equipped with different phase change materials. J. Energy Storage 42:103097.Crossref, Google Scholar
• Tassou S, De-Lille G, Ge Y (2009) Food transport refrigeration–approaches to reduce energy consumption and environmental impacts of road transport. Appl. Thermal Engrg. 29(8–9):1467–1477.Crossref, Google Scholar
• Tso C, Yu S, Poh H, Jolly P (2002) Experimental study on the heat and mass transfer characteristics in a refrigerated truck. Internat. J. Refrigeration 25(3):340–350.Crossref, Google Scholar
• Wang F, Bo H (2026) Time-dependent integrated production and outbound distribution scheduling with multiple cold chain products considering carbon emissions. Internat. J. Production Econom. 292:109836.Crossref, Google Scholar
• Yang S, Xia J, Guo S, Fang X, Ni C (2025) A novel time-dependent electric vehicle pickup and delivery problem with time windows in cold supply chains. Expert Systems Appl. 294:128813.Crossref, Google Scholar
• Zhang X, Han J-W, Qian J-P, Wang Y-Z, Wang L, Yang X-T (2018) Computational fluid dynamic study of thermal effects of open doors of refrigerated vehicles. J. Food Process Engrg. 41(3):e12662.Crossref, Google Scholar
• Zhou H, Chen K, Wang S (2023) Two-period pricing and inventory decisions of perishable products with partial lost sales. Eur. J. Oper. Res. 310(2):611–626.Crossref, Google Scholar