Aggregate order release planning for time-varying demand

A fundamental difficulty in developing effective production planning models has been accurately reflecting the nonlinear dependency between workload and lead times. We develop a mathematical programming model for production planning in multiproduct, single stage systems that captures the nonlinear dependency between workload and lead times. We then use outer linearization of this nonlinear model to obtain a linear programming formulation and extend it to multistage systems. Extensive computational experiments validate the approach and compare its results to conventional models that assume workload-independent planning lead times.

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“…Rearranging this, we obtain (25) which was used to obtain the ACF model, which is thus exact under these assumptions.…”

Section: A Single Stage Multiproduct Model Using Clearing Functionsmentioning

confidence: 99%

Production planning with resources subject to congestion

Asmundsson

Rardin

Turkseven³

et al. 2009

Naval Research Logistics

113

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“…While this work is important to analytical model building in WLC research, it remains unclear whether applying buffer constraints is appropriate as most WLC policies do not restrict the buffer (or queue length) in front of work centres; work centre buffers are usually considered infinite as the buffering happens in the pre-shop pool to avoid blocking on the shop floor. An alternative was provided by Missbauer (2002aMissbauer ( , 2009) who used the theory of transient queuing networks to build aggregate order release planning models, introducing a clearing function model with more than one independent variable. This appears more appropriate, but clearing function models are based on steady-state assumptions and hence still only provide approximation solutions.…”

Section: (2005) Andmentioning

confidence: 99%

Three decades of workload control research: a systematic review of the literature

Thürer

Stevenson

Silva

2011

International Journal of Production Research

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The workload control (WLC) concept has received much attention in the past three decades; however, a comprehensive literature review has not been presented. In response, this article provides a systematic review of the conceptual, analytical, empirical and simulation-based WLC literature. It explores the evolution of WLC research, determines the current state-of-the-art and identifies key areas for further study. The research finds that the field has evolved substantially. Early research focused on theoretical development and experimental testing of order release strategies; order release was then integrated with other planning stages, e.g., the customer enquiry stage, making the concept more suitable for customised manufacturing and leading to a comprehensive concept which combines input and output control effectively; recent attention has focused on implementing the resulting concept in practice and refining theory. While WLC is well placed to meet the needs of producers of customised products, future research should include: conducting further action research into how WLC can be effectively implemented in practice; studying human factors that affect WLC; and feeding back empirical findings to simulation-based WLC research to improve the applicability of WLC theory to real-life job shops.

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“…By considering microscopic internal interactions, the clearing function takes the saturated form as the WIP increases. Missbauer (2002) used the saturated clearing function in order to develop an order release scheme. For the order release problem, Breithaupt et al (2002) also use a similar curve given in parametric form.…”

Section: The Fundamental Diagram Of a Manufacturing Workcellmentioning

confidence: 99%