Mathematical modelling for multiproduct EPQ problem featuring delayed differentiation, expedited rate, and scrap

Abstract

The client requirements of present-day markets emphasize product quality, variety, and rapid response. To gain competitive advantages in marketplaces and meet customer needs, manufacturers today seek the most economical and fastest fabrication schemes and strategies to produce their various goods, especially when commonality exists within these multiple end products. Inspired by the above viewpoints, this study uses a mathematical modelling approach for solving a multiproduct economic production quantity (EPQ) problem featuring scrap, delayed differentiation, and expedited rate on the fabrication of the common part. We build a two-stage multiproduct fabrication scheme. Stage one uses an accelerated rate to produce all necessary common parts for multi-item to shorten its uptime, while stage two fabricates finished products sequentially using a rotation cycle rule. Inevitable random scraps produced in both stages are identified and removed to achieve the anticipated quality. We determined the optimal costminimization operating cycle length and used a numerical example to show our model's capability and to explore collective and individual impacts of scrap, expedited-rate, and postponement strategies on various performances of the studied problem (such as uptime of common part, utilization, rotation cycle time, total system cost, and individual cost contributor, etc.) Our model can offer an optimization solution and in-depth managerial insights for fabrication and operations planning in a wide variety of present-day industries, such as automotive, household goods, clothing, etc.

Research and Development of Digital Work Ticket Information Sharing System Based on Mathematical Differential Improved Vector Space Model

“…Digital work ticket in the electronic signature, provide face recognition function, through face recognition to verify the current signature personnel is correct; When judging the qualification of the personnel in the digital work ticket, the qualification of the personnel to be verified is selected, and the personnel ID is sent to the PMS2.0 system to judge the qualification of the personnel, obtain personnel qualification information from the security risk management and control system periodically through "Task scheduling +webservice", through "Webservice" to push personnel qualification information to digital work tickets, digital work ticket in personnel arrangement, personnel signature, personnel change and other operations for personnel qualification judgment; Obtain personnel qualification information from the security risk management and control system at regular intervals (every 5 minutes) through "Task Scheduling +webservice", "webservice" is used to call the face database and face recognition judgment logic of the security risk management and control system in real time to obtain the return result of face recognition [14] . The digital work ticket controls the filling of the face information of the work ticket in each link of the work ticket, and the content that can be filled in each link is different [15][16] .…”

Optimizing a multiproduct manufacturing system with delayed differentiation, outsourcing, expedited rate, and rework strategies

“…The researchers applied their proposed framework to twenty-eight cases from the literature to verify and demonstrate its applicability. Recent works [4][5][6][7] also examined the effect of various postponement strategies on the operations planning and management of multi-item manufacturing systems. This study considers the reworking of inevitable defective stocks produced in the proposed multi-item manufacturing system.…”