{"id":4131,"date":"2026-06-10T18:23:25","date_gmt":"2026-06-10T18:23:25","guid":{"rendered":"https:\/\/qtechqueueingsystem.com\/overbooking-calculator\/"},"modified":"2026-06-10T18:23:25","modified_gmt":"2026-06-10T18:23:25","slug":"overbooking-calculator","status":"publish","type":"page","link":"https:\/\/qtechqueueingsystem.com\/?page_id=4131","title":{"rendered":"How Many Bookings Can You Safely Accept? Overbooking Calculator"},"content":{"rendered":"\n<p>No-shows leave gaps in your schedule \u2014 but accept too many extra bookings and one day everyone turns up. This calculator tells you how many bookings you can safely accept for the slots you have, based on your no-show rate and how much risk you&#8217;re comfortable with.<\/p>\n\n\n\n<div class=\"obc-wrap\">\n  <div class=\"obc-card\">\n    <div class=\"obc-field\">\n      <label for=\"obc-slots\">Appointment slots per day<\/label>\n      <input type=\"number\" id=\"obc-slots\" min=\"1\" max=\"200\" value=\"20\" inputmode=\"numeric\">\n      <span class=\"obc-hint\">How many appointments you can actually serve in a day.<\/span>\n    <\/div>\n    <div class=\"obc-field\">\n      <label for=\"obc-noshow\">No-show rate (%)<\/label>\n      <input type=\"number\" id=\"obc-noshow\" min=\"0\" max=\"60\" step=\"0.5\" value=\"15\" inputmode=\"decimal\">\n      <span class=\"obc-hint\">The percentage of booked customers who don&#8217;t turn up. Check your records for the last month or two.<\/span>\n    <\/div>\n    <div class=\"obc-field\">\n      <label for=\"obc-risk\">How much risk is acceptable?<\/label>\n      <select id=\"obc-risk\">\n        <option value=\"0.01\">Cautious \u2014 overflow at most 1 day in 100<\/option>\n        <option value=\"0.05\" selected>Balanced \u2014 overflow at most 1 day in 20<\/option>\n        <option value=\"0.10\">Aggressive \u2014 overflow at most 1 day in 10<\/option>\n      <\/select>\n      <span class=\"obc-hint\">&#8220;Overflow&#8221; means more people show up than you have slots for.<\/span>\n    <\/div>\n    <button type=\"button\" class=\"obc-btn\" id=\"obc-calc\">Calculate<\/button>\n    <div id=\"obc-result\" class=\"obc-result\" role=\"status\" aria-live=\"polite\"><\/div>\n  <\/div>\n  <p class=\"obc-note\">Estimates assume each booking is independent. If your no-shows cluster (bad weather, school holidays), lean towards the cautious setting.<\/p>\n<\/div>\n<style>\n.obc-wrap{max-width:560px;margin:0 auto}\n.obc-card{background:#f7f9fb;border:1px solid #e2e8f0;border-radius:12px;padding:28px}\n.obc-field{margin-bottom:18px}\n.obc-field label{display:block;font-weight:600;margin-bottom:6px}\n.obc-field input,.obc-field select{width:100%;padding:10px 12px;border:1px solid #cbd5e1;border-radius:8px;font-size:1rem;background:#fff}\n.obc-hint{display:block;font-size:.82rem;color:#64748b;margin-top:4px}\n.obc-btn{display:inline-block;width:100%;padding:12px 20px;border:0;border-radius:8px;background:var(--accent,#1e73be);color:#fff;font-size:1.05rem;font-weight:600;cursor:pointer}\n.obc-btn:hover{opacity:.9}\n.obc-result{margin-top:22px;display:none}\n.obc-result.obc-show{display:block}\n.obc-big{font-size:2.2rem;font-weight:700;color:var(--accent,#1e73be);text-align:center;margin:6px 0}\n.obc-big small{display:block;font-size:1rem;font-weight:400;color:#334155}\n.obc-stats{display:flex;flex-wrap:wrap;gap:10px;margin-top:14px}\n.obc-stat{flex:1 1 30%;min-width:120px;background:#fff;border:1px solid #e2e8f0;border-radius:8px;padding:10px;text-align:center}\n.obc-stat b{display:block;font-size:1.15rem}\n.obc-stat span{font-size:.78rem;color:#64748b}\n.obc-warn{margin-top:14px;font-size:.9rem;background:#fff7ed;border:1px solid #fed7aa;border-radius:8px;padding:10px 12px}\n.obc-note{font-size:.8rem;color:#64748b;margin-top:12px;text-align:center}\n<\/style>\n<script>\n(function(){\n  function overflowRisk(N, C, q){\n    if (N <= C) return 0;\n    var logq = Math.log(q), log1q = Math.log(1 - q);\n    var lp = N * log1q;\n    var cdf = Math.exp(lp);\n    for (var k = 1; k <= C; k++) {\n      lp += Math.log((N - k + 1) \/ k) + logq - log1q;\n      cdf += Math.exp(lp);\n    }\n    return Math.max(0, 1 - cdf);\n  }\n  document.getElementById(\"obc-calc\").addEventListener(\"click\", function(){\n    var C = parseInt(document.getElementById(\"obc-slots\").value, 10);\n    var p = parseFloat(document.getElementById(\"obc-noshow\").value) \/ 100;\n    var tol = parseFloat(document.getElementById(\"obc-risk\").value);\n    var out = document.getElementById(\"obc-result\");\n    if (!(C > 0) || isNaN(p) || p < 0 || p > 0.6) {\n      out.innerHTML = '<div class=\"obc-warn\">Please enter slots (1\u2013200) and a no-show rate between 0 and 60%.<\/div>';\n      out.className = \"obc-result obc-show\";\n      return;\n    }\n    if (p === 0) {\n      out.innerHTML = '<p class=\"obc-big\">' + C + ' bookings<small>with no no-shows there is no room to overbook \u2014 accept exactly as many bookings as you have slots<\/small><\/p>';\n      out.className = \"obc-result obc-show\";\n      return;\n    }\n    var q = 1 - p;\n    var best = C;\n    for (var N = C + 1; N <= C + 400; N++) {\n      if (overflowRisk(N, C, q) <= tol) { best = N; } else { break; }\n    }\n    var extra = best - C;\n    var riskAtBest = overflowRisk(best, C, q);\n    var riskNext = overflowRisk(best + 1, C, q);\n    var expectedShows = best * q;\n    var html = '<p class=\"obc-big\">' + best + ' bookings<small>you can safely accept per day for your ' + C + ' slots<\/small><\/p>' +\n      '<div class=\"obc-stats\">' +\n      '<div class=\"obc-stat\"><b>+' + extra + '<\/b><span>extra bookings beyond your slots<\/span><\/div>' +\n      '<div class=\"obc-stat\"><b>' + (Math.round(riskAtBest * 1000) \/ 10) + '%<\/b><span>chance of an overflow day<\/span><\/div>' +\n      '<div class=\"obc-stat\"><b>' + (Math.round(expectedShows * 10) \/ 10) + '<\/b><span>customers expected to show up<\/span><\/div>' +\n      '<\/div>';\n    if (extra === 0) {\n      html += '<div class=\"obc-warn\">At this no-show rate and risk level there is no safe room to overbook. The better lever: reduce the no-shows themselves with automated reminders.<\/div>';\n    } else {\n      html += '<div class=\"obc-warn\">Accept just one more booking (' + (best + 1) + ') and the chance of an overflow day rises to <b>' + (Math.round(riskNext * 1000) \/ 10) + '%<\/b>. Overbooking treats the symptom \u2014 automated reminders attack the no-shows themselves.<\/div>';\n    }\n    out.innerHTML = html;\n    out.className = \"obc-result obc-show\";\n  });\n})();\n<\/script>\n\n\n\n<h2 class=\"wp-block-heading\">How this works<\/h2>\n\n\n\n<p>Airlines have done this for decades: when some customers reliably don&#8217;t show up, you can sell a few more seats than you have \u2014 as long as you know the odds. The calculator works out, for every possible number of bookings, the chance that more customers arrive than you have slots, and picks the highest number that stays within your chosen risk level.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">The better fix: fewer no-shows<\/h2>\n\n\n\n<p>Overbooking fills the gaps, but it doesn&#8217;t fix the leak. Automated <a href=\"https:\/\/qtechqueueingsystem.com\/queue-management-system\/sms-web-notifications\/\">SMS and web reminders<\/a> consistently cut no-show rates \u2014 and every percentage point you recover is revenue without any overflow risk. Our <a href=\"https:\/\/qtechqueueingsystem.com\/appointment-system\/\">appointment system<\/a> sends reminders automatically and slots walk-ins into any gaps that remain, so an empty slot rarely stays empty.<\/p>\n\n\n\n<p>Planning your schedule from scratch? Try the <a href=\"https:\/\/qtechqueueingsystem.com\/bookable-slots-planner\/\">bookable slots planner<\/a> to see how many appointments your team can offer, or <a href=\"https:\/\/qtechqueueingsystem.com\/contact\/\">contact us for a demo<\/a> \u2014 we serve businesses across Singapore and Malaysia.<\/p>\n\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_generate-full-width-content":"","om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-4131","page","type-page","status-publish"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Free overbooking calculator: work out how many bookings you can safely accept given your no-show rate, so you fill slots without overcommitting.\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/qtechqueueingsystem.com\/?page_id=4131\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.10\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Qtech\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"How Many Bookings Can You Safely Accept? 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