Production managers face the growing trend of rapid-response orders and inevitable production defects and failures; they must carefully measure these factors’ effects to minimize operating expenditures and operational disruption. Inspired by assisting producers decide the optimal runtime policy under these real situations, this work investigates the collective impact of rework, expedited-rate, external source, and machine failures on such a specific fabrication system. A partial outsourcing and expedited manufacturing rate are considered in the studied system to reduce the batch fabricating time. Additionally, defects rework and repair failure machines are implemented to retain the quality and avoid production disruption. Our research scheme consists of (1) developing a model for the mentioned manufacturing characteristics; and (2) analytical and optimization techniques for deciding the best batch runtime decision by minimizing the system’s overall expenses. Lastly, we provide numerical examples to demonstrate the model’s applicability and disclose important, in-depth characteristics that facilitate managerial decision-making.

This research constructs a mathematical scheme to explore replenishment-shipment decisions for a multiproduct producer-client coordinated finite production rate (FPR) model with the postponement, rework, and subcontracting plan. The considered multiple goods have a common component, and a batch FPR fabrication with postponement is planned to meet the annual multiproduct requirements. The first fabricating phase makes only the standard components needed for a batch and subcontracts a proportion of them (with additional cost) to expedite the process. In contrast, the second fabricating phase produces the finished multiple merchandise in sequence. The in-house rework processes with extra expense help retain the desirable quality. Each merchandise’s finished batch is transported to the clients in equal-sized numerous shipments. This study derives the optimal batch cycle length and transporting frequency by minimizing the overall fabricating-shipment expenses (including clients’ holding costs). This work offers a numerical example demonstrating various crucial system features influenced by the factors of subcontracting, postponement, rework, and transportation policies to facilitate managerial decision making in industries.

This study examines the joint impact of outsourcing, overtime, multi-delivery, rework, and postponement on a multiproduct fabrication problem. A growing/clear trend in today’s customer requirements turned into rapid response and desired quality of multi-merchandises and multiple fixed-amount deliveries in equal-interval time. To satisfy customers’ expectations, current manufacturing firms must effectively design/plan their multiproduct production scheme with minimum fabrication-inventory-shipping expenses and under confined capacity. Motivated by assisting manufacturing firms in making the right production decision, this study develops a decision-support delayed-differentiation model considering multi-shipment, rework, and dual uptime-reducing strategies (namely, overtime and outsourcing). Our delayed-differentiation model comprises stage one, which makes all common/standard parts of multi-end-merchandises, and stage two, which produces multiple end merchandise. For cutting making times, the study proposes subcontracting a portion of the common/standard part’s lot size and adopting overtime-making end merchandise in stage two. The screening and reworking tasks identify and repair faulty items to ensure customers’ desired quality. The finished lots of end merchandise are divided into a few equal-amount shipments and distributed to customers in equal-interval time. We employ mathematical derivation and optimization methodology to derive the annual expected fabrication- inventory-shipping expense and the cost-minimized production-shipping policy. A numerical demonstration is presented to exhibit our research scheme’s applicability and exposes the studied problem’s critical managerial insights, which help the management make beneficial decisions.

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Taiwan is the first country in Asia to recognize the legal rights of same-sex couples to get married. Although same-sex marriage has been legal in Taiwan since May 2019, the same-sex marriage family was not allowed to adopt child legally; only stepchild adoption was permitted. This is still a very controversial issue, so this study intended to understand the views of Taiwanese college students, whose voices should be heard and whose opinions should be valued by legislators. To investigate this issue, a questionnaire was constructed, and 440 objects were collected. The questionnaire regarding attitudes toward same-sex marriage adoption consisted of three dimensions: “Worry and against”, “Idea Recognition” and “Action Support”. Each dimension has good reliability. The internal consistent coefficients (Cronbach’s α) were 0.86, 0.93, and 0.94. The responses reveal that college students in Taiwan have a relatively positive attitude towards same-sex marriage adoption, and college students who are biologically female, non-heterosexual, non-Christian, major in social work, and are acquainted with the LGBT community have more positive attitudes. College students’ same-sex marriage and adoption attitudes can be predicted by biological sex, sexual orientation, religion, grade, whether they major in social work, have contact experience with the LGBT community, contact experience with adoption, and same-sex parenting concepts. The same-sex parenting concept is the most important predictor variable, which means that the judgment about whether same-sex marriage couples can bear the responsibility of raising children is the most critical factor affecting the attitude of same-sex marriage adoption.