Simple motion pursuit differential game problem of many players with integral and geometric constraints on controls function.

We study a simple motion pursuit differential game of many pursuers and one evader in a Hilbert space $l_{2}$. The control functions of the pursuers and evader are subject to integral and geometric constraints respectively. Duration of the game is denoted by positive number $\theta $. Pursuit is said to be completed if there exist strategies $u_{j}$ of the pursuers $P_{j}$ such that for any admissible control $v(\cdot)$ of the evader $E$ the inequality $\|y(\tau)-x_{j}(\tau)\|\leq l_{j}$ is satisfied for some $ j\in \{1,2, \dots\}$ and some time $\tau$. In this paper, sufficient conditions for completion of pursuit were obtained. Consequently strategies of the pursuers that ensure completion of pursuit are constructed.

Combining simple motion measurement, lean analysis technique and historical data review for countering negative labor cost variance: A case study

Negative labor cost variance (NLCV) is an important problem in many manufacturing companies today. NLCV refers to the situation that expected or standard costs are less than actual labor costs in production. Management of NLCV, including the identification of causes for NLCV and the elimination or significant reduction of NLCV, is the topic discussed in this paper. The question studied in this paper is thus: what is an effective methodology in the environment of strong privacy protection to identify causes for NLCV and to significantly reduce it? The study presented in this paper proposed a methodology by combining a simple motion measurement (stopwatch), lean analysis techniques, and historical data review to study the NLCV problem. A case study was taken on a particular company called ABC to test the effectiveness of this methodology. Specifically, the result of the study revealed that (1) the employees in ABC waited for one reason or the other for almost 5 h (idle time) in a 16-h daily operation period (2 shifts running at 8 h each), which accounts for 32% of the total productive time, and (2) the elimination of the waiting time or idle time over the years concerned could account for 83% of all identified wastes in ABC. Through this case study, the effectiveness of the proposed methodology was demonstrated and the applicability of the proposed methodology was also implied.

Konsep Kesederhanaan Tari Renteng di Desa Saren, Nusa Penida, Klungkung, Bali

The Renteng dance is a group dance that is held and only taken by adult women in Saren Village, Nusa Penida, Klungkung, Bali. This dance movement is multiyear and repetitive, and the presentation, clothing and musical accompaniment is very simple. The simplicity of the form and presentation of Renteng gives rise to the beauty that provides the formalistic aesthetic experience of this dance. However, the form of a formalistic aesthetic experience has not many people understand it. The focus of the problem in this study was how the concept of simplicity in the Renteng dance in Saren village. The research discusses the concept of simplicity in the Renteng dance which can create a formalistic aesthetic experience. The purpose of this research is to obtain a conceptual depiction of this dance based on the simplicity of its shape. This type of research is descriptive-analytic using non-participant observation methods, interviews, and documentation. The results of this study, that the concept of simplicity on the Renteng dance consisted of the simplicity of the element, the simplicity of the structure, and the simplicity of the technique. The conclusion is first, the concept of simplicity of elements or elements on the Renteng dance is the simplicity of the composition of the elements contained in this dance, which includes motion, floor design, and top design, fashion, and musical accompaniment; Second, the concept of the simplicity of the Renteng dance structure is a draft whose application is composed through simple motion and repetitive patterns; Thirdly, the concept of the simplicity of the Renteng dance technique is achieved through simple means with low or uncomplicated complexity making it easy to be extracted.