Performance measures of a make-to-order inventory-production system

Qi‐Ming He · Elizabeth Jewkes

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Advanced Queuing Theory Analysis Supply Chain and Inventory Management Management and Optimization Techniques

Abstract

This paper develops two algorithms for computing the average total cost per product and other performance measures for a make-to-order inventory-production system. The two algorithms are developed by using matrix analytic methods. The first algorithm is based on the matrix-geometric solution of the Quasi-Birth-and-Death (QBD) Markov process. The second algorithm is based on the fundamental period of the QBD Markov process. The advantages and disadvantages of the two algorithms are discussed

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1983The Single Server Queue 1993A logarithmic reduction algorithm for quasi-birth-death processes 1993Logistics of Production and Inventory 1993Chapter 3 Centralized planning models for multi-echelon inventory systems under uncertainty 1993Exact and Approximate Evaluation of Batch-Ordering Policies for Two-Level Inventory Systems 1993Continuous Review Policies for Multi-Level Inventory Systems with Stochastic Demand 1990Analysis of a Kanban Discipline for Cell Coordination in Production Lines. I 1990Analysis of a Kanban Discipline for Cell Coordination in Production Lines. I

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2002Supply Chain: Crisp and Fuzzy Aspects 2009Optimal Integrated Ordering and Production Policy in a Supply Chain With Stochastic Lead-Time, Processing-Time, and Demand 2020Optimal control of production-inventory systems with correlated demand inter-arrival and processing times 2021Capacity Allocation of an Integrated Production and Service System 2018Continuous-type (s,Q) -inventory model with an attached M/M/1 queue and lost sales

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