Research Reports from the Department of Operations

Document Type

Report

Publication Date

11-1-1964

Abstract

This paper examines optimal stochastic scheduling, a framework that integrates deterministic activity vectors for the initial period and stochastic vectors for future periods to optimize expected outcomes across a sequence of time periods. Each stochastic schedule adapts to state conditions revealed incrementally, ensuring that revised schedules reflect updated data distributions. Adhering to the Optimality Principle, which disregards past operations, and the Planning Horizon Principle, which restricts considerations beyond a defined horizon, the approach ensures sequential optimization within and across planning periods. Key periods, such as the planning horizon, are critical due to their influence on the objective functional and operational risks. This methodology establishes a systematic process for achieving indefinite optimal schedules through successive planning horizons.

Keywords

Stochastic processes, Operations research, Production control, Planning--Mathematical models, Mathematical optimization

Publication Title

Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University

Issue

Technical memorandum no. 26

Rights

This work is in the public domain and may be freely downloaded for personal or academic use

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