SIMULTANEOUS PRODUCT-MIX PLANNING, LOT SIZING AND SCHEDULING AT BOTTLENECK FACILITIES

• 成果类型: Article
• 署名作者: HUM, SH; SARIN, RK
• 署名单位: University of California System; University of California Los Angeles
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.39.2.296
• 发表日期: 1991
• 页码: 296-307
• 关键词: INVENTORY PRODUCTION - PRODUCT-MIX PLANNING; PRODUCTION SCHEDULING - BOTTLENECK FACILITIES

摘要

Planning and scheduling of bottleneck operations is a fundamental problem in production management because bottleneck facilities control the output and profitability of the entire system. We develop optimal solutions for the product-mix planning, lot sizing, and scheduling of such bottleneck facilities. The integrated product-mix planning, lot sizing and scheduling problem yields a nonconvex, mixed-integer nonlinear program which is difficult to solve for global optimality. Our strategy is to characterize the optimal solution and reduce the overall problem to a series of smaller, single variable, constrained optimization problems which can be solved relatively easily. We provide results for the two-product case for both the single-stage and two-stage production systems and for two types of production environments. Optimal solutions are also provide for the single-stage multiproduct case when all products are produced under a common-cycle restriction. Our work represents an extension of classical product-mix models to include the economic lot sizing and scheduling model.